If we want to factor 4m² + 6mn + 4m + 6n, the correct result is ( ).
Options
A
2(2m + 3n)(m + 1)
B
(2m + 3n)(m + 1)
C
(2m + 3n)(2m + 2)
D
(2m + n)(2m + 6)
Answer & Analysis
Answer
A
Analysis
To factor the polynomial 4m² + 6mn + 4m + 6n, let's follow the factor by grouping method:
Step 1: Group the terms: (4m² + 6mn) + (4m + 6n)
Step 2: Factor out the common factor from each group:
In the first group, we can factor out 2m: 2m(2m + 3n).
In the second group, we can factor out 2: 2(2m + 3n).
Now, we have: 2m(2m + 3n) + 2(2m + 3n)
Step 3: Notice that (
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.